4u^4v-25u^2v^3=

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Solution for 4u^4v-25u^2v^3= equation: 


Simplifying
4u4v + -25u2v3 = 0

Reorder the terms:
-25u2v3 + 4u4v = 0

Solving
-25u2v3 + 4u4v = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u2v'.
u2v(-25v2 + 4u2) = 0

Factor a difference between two squares.
u2v((5v + 2u)(-5v + 2u)) = 0


Subproblem 1
Set the factor 'u2v' equal to zero and attempt to solve:

Simplifying
u2v = 0

Solving
u2v = 0

Move all terms containing u to the left, all other terms to the right.

Simplifying
u2v = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(5v + 2u)' equal to zero and attempt to solve:

Simplifying
5v + 2u = 0

Reorder the terms:
2u + 5v = 0

Solving
2u + 5v = 0

Move all terms containing u to the left, all other terms to the right.

Add '-5v' to each side of the equation.
2u + 5v + -5v = 0 + -5v

Combine like terms: 5v + -5v = 0
2u + 0 = 0 + -5v
2u = 0 + -5v
Remove the zero:
2u = -5v

Divide each side by '2'.
u = -2.5v

Simplifying
u = -2.5v

Subproblem 3
Set the factor '(-5v + 2u)' equal to zero and attempt to solve:

Simplifying
-5v + 2u = 0

Reorder the terms:
2u + -5v = 0

Solving
2u + -5v = 0

Move all terms containing u to the left, all other terms to the right.

Add '5v' to each side of the equation.
2u + -5v + 5v = 0 + 5v

Combine like terms: -5v + 5v = 0
2u + 0 = 0 + 5v
2u = 0 + 5v
Remove the zero:
2u = 5v

Divide each side by '2'.
u = 2.5v

Simplifying
u = 2.5v
Solution
u = {-2.5v, 2.5v}

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